GCD of 230, 120, 11, 133 Calculator

Given Input numbers are 230, 120, 11, 133

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 230, 120, 11, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 120, 11, 133 is 1.

Therefore, GCD of numbers 230, 120, 11, 133 is 1

Given Input Data is 230, 120, 11, 133

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 11 is 11

Prime Factorization of 133 is 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(230, 120) = 2760

GCD(230, 120) = ( 230 x 120 ) / 2760

GCD(230, 120) = 27600 / 2760

GCD(230, 120) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 11

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 11) = 110

GCD(10, 11) = ( 10 x 11 ) / 110

GCD(10, 11) = 110 / 110

GCD(10, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 230, 120, 11, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 419, 44, 575
• GCD of 612, 252, 19, 350
• GCD of 387, 881, 66, 112
• GCD of 729, 299, 24, 588
• GCD of 265, 826, 74, 824

1. What is the GCD of 230, 120, 11, 133?

GCD of 230, 120, 11, 133 is 1

2. Where do I get the detailed procedure to find GCD of 230, 120, 11, 133?

You can find a detailed procedure to find GCD of 230, 120, 11, 133 on our page.

3. How to find GCD of 230, 120, 11, 133 on a calculator?

You can find the GCD of 230, 120, 11, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.